The tweets seem to put an end to the nearly week-long banter about the invitation between the two men on social media. And in true comedic style, Fallon even offered a catchy hashtag when he tweeted the news out to his more than 11 million followers: #SwimmyFallon. Fallon, who pledged to wear a suit and tie for the icy swim, offered a counter-challenger to the mayor, asking him to "show solidarity by wearing a necktie."

Chicago - I'm wearing a suit and tie for the #PolarPlunge. Show solidarity by wearing a necktie. (I'm not telling you what else to wear.)

As these things go, social media latched onto the idea with the #JimmyPlungeWithUs hashtag. For his part, Emanuel agreed to take part in the Chicago Polar Plunge after challenging the city's school children to read two million books last summer. There was no immediate word as to when Emanuel would appear on "The Tonight Show."